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tresset_1 [31]
3 years ago
7

How many solutions will there be to the following equation?16x^2=100

Mathematics
1 answer:
djverab [1.8K]3 years ago
4 0

Answer:

2 solutions; x=2.5     x=-25

Step-by-step explanation:

16x^2 = 100

x^2 = 100/16

x^2 = 6.25

x = (+-) sqrt 6.25

x = (+-) 2.5

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Use grouping symbols and at least one exponent to write a numerical expression that has a value of 80.
Kaylis [27]

To group an expression, means that the factors of the expression are to be separated in (), [] or {}.

An expression with a value of 80 is: 2^2 \times ( [2 + 2] \times [3 + 2] )

The number is given as:

80

Factorize

80 = 2 \times 40

Factorize 40

80 = 2 \times 2 \times 20

Express 2 \times 2 as an exponent

80 = 2^2 \times 20

Express 20 as 4 x 5

80 = 2^2 \times ( 4 \times 5)

Express 5 as 3 + 2

80 = 2^2 \times ( 4 \times [3 + 2] )

Express 4 as 2 + 2

80 = 2^2 \times ( [2 + 2] \times [3 + 2] )

Hence, the above expression has a numerical value of 80

Read more about numerical expressions at:

brainly.com/question/24787226

6 0
2 years ago
A circle has an area of 78.5 square inches what is the radius of the circle
Alinara [238K]

Answer:

Step-by-step explanation:

Area of circle = 78.5 in²

πr² = 78.5

3.14*r² = 78.5

r^{2}=\frac{78.5}{3.14}\\\\=\frac{78.5*100}{3.14*100}\\\\=\frac{7850}{314}\\\\r^{2}=25\\r=\sqrt{25}=\sqrt{5*5}\\\\

r =  5 in

3 0
3 years ago
Read 2 more answers
Kylie explained that (negative 4 x 9) squared will result in a difference of squares because (negative 4 x 9) squared = (negativ
JulijaS [17]

A perfect square trinomial is the result in algebraic form which is obtained by solving the squared binomial expression. Kylie did not understand that this is a perfect square trinomial and she did not determine the product correctly. Thus the option C is the correct option.

Given information-

The expression for the given problem is,

(-4x+9)^2

<h3>Perfect square trinomial</h3>

A perfect square trinomial is the result in algebraic form which is obtained by solving the squared binomial expression.

The perfect square trinomial can be given as,

ax^2+bx+c

The given expression can be solved as,

(-4x+9)^2=(-4x+9)\times(-4x+9)\\(-4x+9)^2=-4x(-4x+9)+9(-4x+9)\\(-4x+9)^2=16x^2-36x-36x+81\\(-4x+9)^2=16x^2-72x+81

Hence Kylie did not understand that this is a perfect square trinomial and she did not determine the product correctly. Thus the option C is the correct option.

Learn more about the perfect square trinomial here;

brainly.com/question/88561

3 0
2 years ago
This? year, donnelly,? inc., will produce 60 comma 00060,000 hot water heaters at its plant in? delaware, in order to meet expec
juin [17]
Summary of problem.
annual production = 60000 units
work hours per worker = 200*12=2400 hours
productivity = 0.15 unit / person-hour
Need to calculate the number of workers/persons employed.
 
Each unit requires 1 unit / 0.15 unit/person-hour
= 1/0.15 person-hours / unit

60000 unit requires 60000 units * 1/0.15  person-hours/unit
= 400000 person-hours

400000 person-hours requires 400000 person-hours /2400 hours = 166.7 persons 
=>
The plant has 167 labourers  (assuming perfect attendance).

4 0
3 years ago
Carlos is going to an amusement park for his 11th birthday with his 2 yr old brother and parents. His parents brought $100 to sp
amm1812
They have $49.00 left for desert because a ticket is $15 for each person 7 and older. So 15 × 3 people = $45.00. $1.50 per slice and they got 4 slices so 1.50 × 4 = $6.00. $45.00 + $6.00 = $51.00. $100 - $51 = $49.00
8 0
3 years ago
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